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This suggested edit was approved and applied to the post over 1 year ago by MissMulan‭.

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Meaning of complex frequency
  • If we have a LC high pass filter the transfer function H(s) becomes:
  • ![](https://physics.codidact.com/uploads/9ebwwQ7uz2nhUmVCM8WQow4u)
  • If we solve for s to find a pole of the transfer function we get:
  • ![](https://physics.codidact.com/uploads/YFvV7yjmhDkMFSb1XatGiyxD)
  • In the case of a sinusoidal input signal = s = jω -> ω = 1/sqrt(LC)
  • But in a case of a signal which may not be sinusoidal s can be a complex number and the result of this is that the pole exists at a complex frequency.But what physical meaning does a complex frequency have?
  • If we have a LC high pass filter the transfer function H(s) becomes:
  • $$ H(s) = \cfrac{sL}{sL + \cfrac{1}{sC}} $$
  • If we solve for s to find a pole of the transfer function we get:
  • $$ s = j \cfrac{1}{\sqrt{LC}} $$
  • In the case of a sinusoidal input signal = $ s = j \omega \rightarrow \omega = \cfrac{1}{\sqrt{LC}} $
  • But in a case of a signal which may not be sinusoidal s can be a complex number and the result of this is that the pole exists at a complex frequency. But what physical meaning does a complex frequency have?

Suggested over 1 year ago by Canina‭